19.863 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.062 * * * [progress]: [2/2] Setting up program. 0.064 * [progress]: [Phase 2 of 3] Improving. 0.064 * [simplify]: Simplifying using # : (log (+ x (sqrt (+ (* x x) 1.0)))) 0.067 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.068 * * [simplify]: iteration 1 : 10 enodes (cost 5 ) 0.068 * [simplify]: Simplified to: (log (+ x (sqrt (+ (* x x) 1.0)))) 0.069 * * [progress]: iteration 1 / 4 0.069 * * * [progress]: picking best candidate 0.070 * * * * [pick]: Picked # 0.070 * * * [progress]: localizing error 0.077 * * * [progress]: generating rewritten candidates 0.077 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.081 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.090 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.102 * * * [progress]: generating series expansions 0.102 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.102 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.144 * [approximate]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in (x) around 0 0.144 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in x 0.144 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.144 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in x 0.147 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.147 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of 1.0 in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.193 * [approximate]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.193 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.193 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.240 * [approximate]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.240 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.240 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.240 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.248 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of 1.0 in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.314 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.315 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in (x) around 0 0.315 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.315 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.315 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.316 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.316 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.324 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.324 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.347 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.347 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.347 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.375 * * * [progress]: simplifying candidates 0.376 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) 1.0))) (log1p (sqrt (+ (* x x) 1.0))) (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0))) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt 1) (sqrt (+ (* x x) 1.0)) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (expm1 (log (+ x (sqrt (+ (* x x) 1.0))))) (log1p (log (+ x (sqrt (+ (* x x) 1.0))))) (log (* (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (cbrt (+ x (sqrt (+ (* x x) 1.0)))))) (log (cbrt (+ x (sqrt (+ (* x x) 1.0))))) (log (sqrt (+ x (sqrt (+ (* x x) 1.0))))) (log (sqrt (+ x (sqrt (+ (* x x) 1.0))))) (log 1) (log (+ x (sqrt (+ (* x x) 1.0)))) (log 1) (log (+ x (sqrt (+ (* x x) 1.0)))) (log (+ (pow x 3) (pow (sqrt (+ (* x x) 1.0)) 3))) (log (+ (* x x) (- (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (* x (sqrt (+ (* x x) 1.0)))))) (log (- (* x x) (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))))) (log (- x (sqrt (+ (* x x) 1.0)))) (log (+ x (sqrt (+ (* x x) 1.0)))) (log (log (+ x (sqrt (+ (* x x) 1.0))))) (exp (log (+ x (sqrt (+ (* x x) 1.0))))) (* (cbrt (log (+ x (sqrt (+ (* x x) 1.0))))) (cbrt (log (+ x (sqrt (+ (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (+ (* x x) 1.0))))) (* (* (log (+ x (sqrt (+ (* x x) 1.0)))) (log (+ x (sqrt (+ (* x x) 1.0))))) (log (+ x (sqrt (+ (* x x) 1.0))))) (sqrt (log (+ x (sqrt (+ (* x x) 1.0))))) (sqrt (log (+ x (sqrt (+ (* x x) 1.0))))) (expm1 (+ x (sqrt (+ (* x x) 1.0)))) (log1p (+ x (sqrt (+ (* x x) 1.0)))) (* (exp x) (exp (sqrt (+ (* x x) 1.0)))) (log (+ x (sqrt (+ (* x x) 1.0)))) (exp (+ x (sqrt (+ (* x x) 1.0)))) (* (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (cbrt (+ x (sqrt (+ (* x x) 1.0))))) (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (* (* (+ x (sqrt (+ (* x x) 1.0))) (+ x (sqrt (+ (* x x) 1.0)))) (+ x (sqrt (+ (* x x) 1.0)))) (sqrt (+ x (sqrt (+ (* x x) 1.0)))) (sqrt (+ x (sqrt (+ (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (+ (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (* x (sqrt (+ (* x x) 1.0))))) (- (* x x) (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)))) (- x (sqrt (+ (* x x) 1.0))) (+ x (sqrt (+ (* x x) 1.0))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (* 0.25 (/ 1 (pow x 2))) (log 2)) (+ (log (/ 1 x)) (* 0.09375 (/ 1 (pow x 4))))) (- (+ (log 0.5) (+ (* 0.125 (/ 1 (pow x 4))) (log (/ -1 x)))) (+ (* 0.25 (/ 1 (pow x 2))) (* 0.0078125 (/ 1 (* (pow x 4) (pow 0.5 2)))))) (+ x (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 x) (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ (* 0.5 (/ 1 x)) (* 0.0625 (/ 1 (pow x 5))))) 0.381 * * [simplify]: iteration 0 : 331 enodes (cost 422 ) 0.386 * * [simplify]: iteration 1 : 1127 enodes (cost 385 ) 0.406 * * [simplify]: iteration 2 : 5002 enodes (cost 366 ) 0.408 * [simplify]: Simplified to: (expm1 (sqrt (+ (* x x) 1.0))) (log1p (sqrt (+ (* x x) 1.0))) (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (pow (hypot x (sqrt 1.0)) 3) (fabs (cbrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt 1) (hypot x (sqrt 1.0)) (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) 1/2 (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (expm1 (log (+ x (sqrt (+ (* x x) 1.0))))) (log1p (log (+ x (sqrt (+ (* x x) 1.0))))) (* 2 (log (cbrt (+ x (sqrt (+ (* x x) 1.0)))))) (log (cbrt (+ x (sqrt (+ (* x x) 1.0))))) (log (sqrt (+ x (sqrt (+ (* x x) 1.0))))) (log (sqrt (+ x (sqrt (+ (* x x) 1.0))))) 0 (log (+ x (sqrt (+ (* x x) 1.0)))) 0 (log (+ x (sqrt (+ (* x x) 1.0)))) (log (+ (pow x 3) (pow (sqrt (+ (* x x) 1.0)) 3))) (log (+ (* x x) (- (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (* x (sqrt (+ (* x x) 1.0)))))) (log (- (* x x) (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))))) (log (- x (sqrt (+ (* x x) 1.0)))) (log (+ x (sqrt (+ (* x x) 1.0)))) (log (log (+ x (sqrt (+ (* x x) 1.0))))) (+ (hypot x (sqrt 1.0)) x) (* (cbrt (log (+ x (sqrt (+ (* x x) 1.0))))) (cbrt (log (+ x (sqrt (+ (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (+ (* x x) 1.0))))) (pow (log (+ x (sqrt (+ (* x x) 1.0)))) 3) (sqrt (log (+ x (sqrt (+ (* x x) 1.0))))) (sqrt (log (+ x (sqrt (+ (* x x) 1.0))))) (expm1 (+ x (sqrt (+ (* x x) 1.0)))) (log1p (+ x (sqrt (+ (* x x) 1.0)))) (exp (+ (hypot x (sqrt 1.0)) x)) (log (+ x (sqrt (+ (* x x) 1.0)))) (exp (+ (hypot x (sqrt 1.0)) x)) (* (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (cbrt (+ x (sqrt (+ (* x x) 1.0))))) (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (pow (+ x (sqrt (+ (* x x) 1.0))) 3) (sqrt (+ x (sqrt (+ (* x x) 1.0)))) (sqrt (+ x (sqrt (+ (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (+ (* x x) 1.0)) 3)) (+ (fma x x 1.0) (* x (- x (sqrt (+ (* x x) 1.0))))) (- 0 1.0) (- x (sqrt (+ (* x x) 1.0))) (+ (hypot x (sqrt 1.0)) x) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3))) (- (- (/ 0.125 (pow x 3)) x) (/ 0.5 x)) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (log 2) (- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x))) (- (fma 0.125 (/ 1 (pow x 4)) (log (/ -1 x))) (- (fma 0.25 (/ 1 (pow x 2)) (/ (/ 0.0078125 (pow 0.5 2)) (pow x 4))) (log 0.5))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (+ x (sqrt 1.0))) (fma (- 0.125) (/ 1 (pow x 3)) (fma x 2 (/ 0.5 x))) (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (- 0.0625) (pow x 5)))) 0.408 * * * [progress]: adding candidates to table 0.581 * * [progress]: iteration 2 / 4 0.581 * * * [progress]: picking best candidate 0.591 * * * * [pick]: Picked # 0.591 * * * [progress]: localizing error 0.605 * * * [progress]: generating rewritten candidates 0.605 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.679 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.838 * * * [progress]: generating series expansions 0.838 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.840 * [approximate]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.840 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.840 * [taylor]: Taking taylor expansion of 1/6 in x 0.840 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.840 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.840 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.844 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.844 * [taylor]: Taking taylor expansion of 1/6 in x 0.844 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.844 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.845 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.845 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [approximate]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.889 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.889 * [taylor]: Taking taylor expansion of 1/6 in x 0.889 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.889 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.889 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.889 * [taylor]: Taking taylor expansion of 1.0 in x 0.894 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.894 * [taylor]: Taking taylor expansion of 1/6 in x 0.894 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.894 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.894 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.894 * [taylor]: Taking taylor expansion of 1.0 in x 0.930 * [approximate]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.930 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.930 * [taylor]: Taking taylor expansion of -1/6 in x 0.930 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.930 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.930 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.930 * [taylor]: Taking taylor expansion of 1.0 in x 0.942 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.942 * [taylor]: Taking taylor expansion of -1/6 in x 0.942 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.942 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.942 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.942 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.942 * [taylor]: Taking taylor expansion of 1.0 in x 0.978 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.980 * [approximate]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) in (x) around 0 0.980 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) in x 0.980 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) in x 0.980 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 0.980 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.980 * [taylor]: Taking taylor expansion of 1.0 in x 0.981 * [taylor]: Taking taylor expansion of (/ x (sqrt 1.0)) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.981 * [taylor]: Taking taylor expansion of 1.0 in x 0.982 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.982 * [taylor]: Taking taylor expansion of 1/6 in x 0.982 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.982 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.982 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.982 * [taylor]: Taking taylor expansion of 1.0 in x 0.986 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) in x 0.986 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) in x 0.986 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 0.986 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.986 * [taylor]: Taking taylor expansion of 1.0 in x 0.988 * [taylor]: Taking taylor expansion of (/ x (sqrt 1.0)) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.988 * [taylor]: Taking taylor expansion of 1.0 in x 0.989 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.989 * [taylor]: Taking taylor expansion of 1/6 in x 0.989 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.989 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.989 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.989 * [taylor]: Taking taylor expansion of 1.0 in x 1.028 * [approximate]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) in (x) around 0 1.028 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) in x 1.028 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) in x 1.028 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 1.028 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.028 * [taylor]: Taking taylor expansion of 1.0 in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 1.0))) in x 1.029 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.029 * [taylor]: Taking taylor expansion of 1.0 in x 1.032 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3)))) in x 1.032 * [taylor]: Taking taylor expansion of 1/6 in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 1.032 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 1.032 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.032 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.032 * [taylor]: Taking taylor expansion of 1.0 in x 1.037 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) in x 1.037 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) in x 1.037 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 1.037 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.037 * [taylor]: Taking taylor expansion of 1.0 in x 1.038 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 1.0))) in x 1.038 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.039 * [taylor]: Taking taylor expansion of 1.0 in x 1.041 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3)))) in x 1.041 * [taylor]: Taking taylor expansion of 1/6 in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 1.041 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 1.041 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.041 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.041 * [taylor]: Taking taylor expansion of 1.0 in x 1.082 * [approximate]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) (/ 1 (* x (sqrt 1.0)))) in (x) around 0 1.082 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) (/ 1 (* x (sqrt 1.0)))) in x 1.082 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) in x 1.082 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 1.082 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.082 * [taylor]: Taking taylor expansion of 1.0 in x 1.083 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3)))) in x 1.083 * [taylor]: Taking taylor expansion of 1/6 in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 1.083 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 1.083 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.083 * [taylor]: Taking taylor expansion of x in x 1.083 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.083 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.083 * [taylor]: Taking taylor expansion of 1.0 in x 1.089 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 1.0))) in x 1.089 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.092 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) (/ 1 (* x (sqrt 1.0)))) in x 1.092 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) in x 1.092 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 1.092 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.092 * [taylor]: Taking taylor expansion of 1.0 in x 1.093 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3)))) in x 1.093 * [taylor]: Taking taylor expansion of 1/6 in x 1.093 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 1.093 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 1.093 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.093 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.093 * [taylor]: Taking taylor expansion of 1.0 in x 1.099 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 1.0))) in x 1.099 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 1.099 * [taylor]: Taking taylor expansion of x in x 1.099 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.099 * [taylor]: Taking taylor expansion of 1.0 in x 1.140 * * * [progress]: simplifying candidates 1.145 * [simplify]: Simplifying using # : (expm1 (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log1p (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (+ (log 1/6) (- (* (log x) 3) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (* (log x) 3) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (* (log x) 3) (log (pow (sqrt 1.0) 3)))) (+ (log 1/6) (- (* (log x) 3) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (* (log x) 3) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (* (log x) 3) (log (pow (sqrt 1.0) 3)))) (+ (log 1/6) (- (log (pow x 3)) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (log (pow x 3)) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (log (pow x 3)) (log (pow (sqrt 1.0) 3)))) (+ (log 1/6) (log (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (exp (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (* (* 1/6 1/6) 1/6) (/ (* (* (pow x 3) (pow x 3)) (pow x 3)) (* (* (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3)) (pow (sqrt 1.0) 3)))) (* (* (* 1/6 1/6) 1/6) (* (* (/ (pow x 3) (pow (sqrt 1.0) 3)) (/ (pow x 3) (pow (sqrt 1.0) 3))) (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (* (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (sqrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (sqrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (sqrt (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (sqrt (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt 1.0) (/ 3 2)))) (* 1/6 (* (cbrt (/ (pow x 3) (pow (sqrt 1.0) 3))) (cbrt (/ (pow x 3) (pow (sqrt 1.0) 3))))) (* 1/6 (sqrt (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt 1) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow 1 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (* (sqrt 1.0) (sqrt 1.0)))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (* (cbrt (pow (sqrt 1.0) 3)) (cbrt (pow (sqrt 1.0) 3))))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt 1) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow 1 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (sqrt 1.0))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (sqrt (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) 1)) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt 1.0) (/ 3 2)))) (* 1/6 (/ (pow (sqrt x) 3) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt 1) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow 1 3))) (* 1/6 (/ (pow (sqrt x) 3) (* (sqrt 1.0) (sqrt 1.0)))) (* 1/6 (/ (pow (sqrt x) 3) (* (cbrt (pow (sqrt 1.0) 3)) (cbrt (pow (sqrt 1.0) 3))))) (* 1/6 (/ (pow (sqrt x) 3) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt 1) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow 1 3))) (* 1/6 (/ (pow (sqrt x) 3) (sqrt 1.0))) (* 1/6 (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow (sqrt x) 3) 1)) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt 1.0) (/ 3 2)))) (* 1/6 (/ (pow 1 3) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow 1 3) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow 1 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow 1 3) (pow (sqrt 1) 3))) (* 1/6 (/ (pow 1 3) (pow (sqrt 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(sqrt 1.0) 3)))) (* (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))))) (- (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (* (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (* (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (/ x (sqrt 1.0)) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) 1.159 * * [simplify]: iteration 0 : 888 enodes (cost 2291 ) 1.176 * * [simplify]: iteration 1 : 4768 enodes (cost 1819 ) 1.248 * * [simplify]: iteration 2 : 5001 enodes (cost 1795 ) 1.257 * [simplify]: Simplified to: (expm1 (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log1p (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/6 (pow (/ x (sqrt 1.0)) 3)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (pow (exp (pow (/ x (sqrt 1.0)) 3)) 1/6) (pow (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) 3) (pow (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) 3) (* (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (pow (* 1/6 (/ (pow x 3) (pow (sqrt 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(* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt 1.0) 3/2))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt 1.0) 3/2))) (* (sqrt 1/6) (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x 3/2) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow x 3/2) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow x 3/2) (pow (sqrt 1.0) 3/2))) (* (sqrt 1/6) (/ (pow x 3/2) (pow (sqrt 1.0) 3/2))) (* (/ x (/ 1.0 x)) 1/6) (* 1/6 (fabs (pow (/ x (sqrt 1.0)) 3/2))) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (sqrt 1.0) x)) 1/6) (* (/ x (/ (sqrt (pow (sqrt 1.0) 3)) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt 1.0) 3/2) x)) 1/6) (/ (* 1/6 (pow (sqrt x) 3)) 1.0) (/ (* (pow (sqrt x) 3) 1/6) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (pow (sqrt x) 3) 1/6) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (pow (sqrt x) 3) 1/6) (/ (* 1/6 (pow 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3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (sqrt 1.0) x)) 1/6) (* (/ x (/ (sqrt (pow (sqrt 1.0) 3)) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt 1.0) 3/2) x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (sqrt 1.0) x)) 1/6) (* (/ x (/ (sqrt (pow (sqrt 1.0) 3)) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt 1.0) 3/2) x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (sqrt 1.0) x)) 1/6) (* (/ x (/ (sqrt (pow (sqrt 1.0) 3)) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt 1.0) 3/2) x)) 1/6) (/ (* 1/6 (pow (sqrt x) 3)) 1.0) (/ (* (pow (sqrt x) 3) 1/6) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (pow (sqrt x) 3) 1/6) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (pow (sqrt x) 3) 1/6) (/ (* 1/6 (pow (sqrt x) 3)) 1.0) (/ (* 1/6 (pow (sqrt x) 3)) 1.0) (/ (* 1/6 (pow (sqrt x) 3)) 1.0) (/ (* (pow (sqrt x) 3) 1/6) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) 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(/ x (sqrt 1.0))) (* 1/6 (/ x (sqrt (pow (sqrt 1.0) 3)))) (* x 1/6) (* 1/6 (/ x (pow (sqrt 1.0) 3/2))) (/ (* 1/6 (sqrt (pow x 3))) 1.0) (/ (* 1/6 (sqrt (pow x 3))) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt (pow x 3)) 1/6) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt (pow x 3)) 1/6) (/ (* 1/6 (sqrt (pow x 3))) 1.0) (/ (* 1/6 (sqrt (pow x 3))) 1.0) (/ (* 1/6 (sqrt (pow x 3))) 1.0) (/ (* 1/6 (sqrt (pow x 3))) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt (pow x 3)) 1/6) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt (pow x 3)) 1/6) (* 1/6 (/ (sqrt (pow x 3)) (sqrt 1.0))) (* 1/6 (/ (sqrt (pow x 3)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt (pow x 3)) 1/6) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt 1.0) 3/2))) (/ 1/6 1.0) (/ 1/6 (/ (pow (fabs (cbrt 1.0)) 3) 1)) (/ 1/6 (pow (sqrt (sqrt 1.0)) 3)) 1/6 (/ 1/6 (pow (sqrt (sqrt 1.0)) 3)) 1/6 (/ 1/6 1.0) (/ 1/6 1.0) (/ 1/6 1.0) (/ 1/6 (/ (pow (fabs (cbrt 1.0)) 3) 1)) (/ 1/6 (pow (sqrt (sqrt 1.0)) 3)) 1/6 (/ 1/6 (pow (sqrt (sqrt 1.0)) 3)) 1/6 (/ 1/6 (sqrt 1.0)) (/ 1/6 (sqrt (pow (sqrt 1.0) 3))) 1/6 (/ 1/6 (pow (sqrt 1.0) 3/2)) (/ (* 1/6 (pow x 3/2)) 1.0) (/ (* 1/6 (pow x 3/2)) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (pow x 3/2) 1/6) (* 1/6 (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (pow x 3/2) 1/6) (/ (* 1/6 (pow x 3/2)) 1.0) (/ (* 1/6 (pow x 3/2)) 1.0) (/ (* 1/6 (pow x 3/2)) 1.0) (/ (* 1/6 (pow x 3/2)) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (pow x 3/2) 1/6) (* 1/6 (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (pow x 3/2) 1/6) (* 1/6 (/ (pow x 3/2) (sqrt 1.0))) (* 1/6 (/ (pow x 3/2) (sqrt (pow (sqrt 1.0) 3)))) (* (pow x 3/2) 1/6) (* 1/6 (/ (pow x 3/2) (pow (sqrt 1.0) 3/2))) 1/6 (* 1/6 (pow x 3)) (* (pow (/ x (sqrt 1.0)) 3) (cbrt 1/6)) (* (pow (/ x (sqrt 1.0)) 3) (sqrt 1/6)) (* 1/6 (pow (/ x (sqrt 1.0)) 3)) (* 1/6 (pow x 3)) (fma (* (cbrt (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (cbrt (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (cbrt (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (* (- 1/6) (pow (/ x (sqrt 1.0)) 3))) (* (pow (/ x (sqrt 1.0)) 3) (+ (- 1/6) 1/6)) (fma (- (pow (/ x (sqrt 1.0)) 3)) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (* (pow (/ x (sqrt 1.0)) 3) (+ (- 1/6) 1/6)) (fma (- (pow (/ x (sqrt 1.0)) 3)) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (* (pow (/ x (sqrt 1.0)) 3) (+ (- 1/6) 1/6)) (fma (- (pow (/ x (sqrt 1.0)) 3)) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (* (pow (/ x (sqrt 1.0)) 3) (+ (- 1/6) 1/6)) (fma (- (pow (/ x (sqrt 1.0)) 3)) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (* (pow (/ x (sqrt 1.0)) 3) (+ (- 1/6) 1/6)) (expm1 (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (log1p (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (* (- 1/6) (pow (/ x (sqrt 1.0)) 3)) (* (- 1/6) (pow (/ x (sqrt 1.0)) 3)) (* (- 1/6) (pow (/ x (sqrt 1.0)) 3)) (* (- 1/6) (pow (/ x (sqrt 1.0)) 3)) (* (- 1/6) (pow (/ x (sqrt 1.0)) 3)) (/ (sqrt 1.0) (exp (- (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (/ x (sqrt 1.0))))) (/ (sqrt 1.0) (exp (- (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (/ x (sqrt 1.0))))) (log (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (/ (sqrt 1.0) (exp (- (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (/ x (sqrt 1.0))))) (* (cbrt (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (cbrt (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))))) (cbrt (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (pow (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) 3) (sqrt (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (sqrt (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (fma (* (+ (pow (log (sqrt 1.0)) 3) (pow (/ x (sqrt 1.0)) 3)) 1.0) (sqrt 1.0) (* (- (fma (/ x (sqrt 1.0)) (- (/ x (sqrt 1.0)) (log (sqrt 1.0))) (* (log (sqrt 1.0)) (log (sqrt 1.0))))) (* 1/6 (pow x 3)))) (* (* (fma (/ x (sqrt 1.0)) (- (/ x (sqrt 1.0)) (log (sqrt 1.0))) (* (log (sqrt 1.0)) (log (sqrt 1.0)))) 1.0) (sqrt 1.0)) (fma (* (fma (log (sqrt 1.0)) (log (sqrt 1.0)) (- (/ x (/ 1.0 x)))) 1.0) (sqrt 1.0) (- (* (- (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (pow x 3))))) (* (- (log (sqrt 1.0)) (/ x (sqrt 1.0))) (pow (sqrt 1.0) 3)) (fma (- 1/216) (pow (pow (/ x (sqrt 1.0)) 3) 3) (pow (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) 3)) (fma (pow (/ x (sqrt 1.0)) 3) (* 1/6 (fma (pow (/ x (sqrt 1.0)) 3) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (* (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (* (- 1/6) (pow (/ x (sqrt 1.0)) 3)) (+ (* (- 1/36) (pow (/ x (sqrt 1.0)) 6)) (* (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (fma (pow (/ x (sqrt 1.0)) 3) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (- (/ x (sqrt 1.0)) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (- 1/6) (pow (/ x (sqrt 1.0)) 3)) (* 1/6 (pow (/ x (sqrt 1.0)) 3)) (* 1/6 (pow (/ x (sqrt 1.0)) 3)) (* 1/6 (pow (/ x (sqrt 1.0)) 3)) (fma (- (pow (/ x (sqrt 1.0)) 3)) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (fma (- (pow (/ x (sqrt 1.0)) 3)) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (fma (- (pow (/ x (sqrt 1.0)) 3)) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) 1.258 * * * [progress]: adding candidates to table 1.714 * * [progress]: iteration 3 / 4 1.714 * * * [progress]: picking best candidate 1.723 * * * * [pick]: Picked # 1.723 * * * [progress]: localizing error 1.731 * * * [progress]: generating rewritten candidates 1.731 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.733 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.736 * * * [progress]: generating series expansions 1.736 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.737 * [approximate]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in (x) around 0 1.737 * [taylor]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in x 1.737 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.737 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.737 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.737 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.737 * [taylor]: Taking taylor expansion of (* x x) in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.737 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.737 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.737 * [taylor]: Taking taylor expansion of 1.0 in x 1.738 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.738 * [taylor]: Taking taylor expansion of 1.0 in x 1.745 * [taylor]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in x 1.745 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.745 * [taylor]: Taking taylor expansion of x in x 1.745 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.745 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.745 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.745 * [taylor]: Taking taylor expansion of (* x x) in x 1.745 * [taylor]: Taking taylor expansion of x in x 1.745 * [taylor]: Taking taylor expansion of x in x 1.745 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.745 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.745 * [taylor]: Taking taylor expansion of 1.0 in x 1.746 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.746 * [taylor]: Taking taylor expansion of 1.0 in x 1.800 * [approximate]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in (x) around 0 1.800 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 1.800 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.800 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.800 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.800 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.800 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.800 * [taylor]: Taking taylor expansion of x in x 1.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.800 * [taylor]: Taking taylor expansion of x in x 1.801 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.801 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.801 * [taylor]: Taking taylor expansion of 1.0 in x 1.802 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.802 * [taylor]: Taking taylor expansion of 1.0 in x 1.805 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.805 * [taylor]: Taking taylor expansion of x in x 1.806 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 1.806 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.806 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.806 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.806 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.806 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.806 * [taylor]: Taking taylor expansion of x in x 1.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.806 * [taylor]: Taking taylor expansion of x in x 1.807 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.807 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.807 * [taylor]: Taking taylor expansion of 1.0 in x 1.808 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.808 * [taylor]: Taking taylor expansion of 1.0 in x 1.812 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.812 * [taylor]: Taking taylor expansion of x in x 1.896 * [approximate]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in (x) around 0 1.896 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 1.896 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.896 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.896 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.896 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.897 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.897 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.897 * [taylor]: Taking taylor expansion of -1 in x 1.897 * [taylor]: Taking taylor expansion of x in x 1.897 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.897 * [taylor]: Taking taylor expansion of -1 in x 1.897 * [taylor]: Taking taylor expansion of x in x 1.897 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.897 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.897 * [taylor]: Taking taylor expansion of 1.0 in x 1.898 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.898 * [taylor]: Taking taylor expansion of 1.0 in x 1.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.901 * [taylor]: Taking taylor expansion of x in x 1.912 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 1.912 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.912 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.912 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.913 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.913 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.913 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.913 * [taylor]: Taking taylor expansion of -1 in x 1.913 * [taylor]: Taking taylor expansion of x in x 1.913 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.913 * [taylor]: Taking taylor expansion of -1 in x 1.913 * [taylor]: Taking taylor expansion of x in x 1.913 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.913 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.913 * [taylor]: Taking taylor expansion of 1.0 in x 1.914 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.914 * [taylor]: Taking taylor expansion of 1.0 in x 1.917 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.917 * [taylor]: Taking taylor expansion of x in x 2.038 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.039 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 2.039 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.039 * [taylor]: Taking taylor expansion of x in x 2.039 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.039 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.039 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.039 * [taylor]: Taking taylor expansion of (* x x) in x 2.039 * [taylor]: Taking taylor expansion of x in x 2.039 * [taylor]: Taking taylor expansion of x in x 2.039 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.039 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.039 * [taylor]: Taking taylor expansion of 1.0 in x 2.040 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.040 * [taylor]: Taking taylor expansion of 1.0 in x 2.045 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.045 * [taylor]: Taking taylor expansion of x in x 2.045 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.045 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.045 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.045 * [taylor]: Taking taylor expansion of (* x x) in x 2.045 * [taylor]: Taking taylor expansion of x in x 2.045 * [taylor]: Taking taylor expansion of x in x 2.045 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.045 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.045 * [taylor]: Taking taylor expansion of 1.0 in x 2.046 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.046 * [taylor]: Taking taylor expansion of 1.0 in x 2.060 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 2.060 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.060 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.060 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.060 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.060 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.060 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.061 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.061 * [taylor]: Taking taylor expansion of 1.0 in x 2.061 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.061 * [taylor]: Taking taylor expansion of 1.0 in x 2.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.064 * [taylor]: Taking taylor expansion of x in x 2.065 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.065 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.065 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.065 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.065 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.065 * [taylor]: Taking taylor expansion of x in x 2.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.065 * [taylor]: Taking taylor expansion of x in x 2.065 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.065 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.065 * [taylor]: Taking taylor expansion of 1.0 in x 2.066 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.066 * [taylor]: Taking taylor expansion of 1.0 in x 2.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.069 * [taylor]: Taking taylor expansion of x in x 2.098 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 2.098 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.098 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.098 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.098 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.098 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.098 * [taylor]: Taking taylor expansion of -1 in x 2.098 * [taylor]: Taking taylor expansion of x in x 2.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.098 * [taylor]: Taking taylor expansion of -1 in x 2.098 * [taylor]: Taking taylor expansion of x in x 2.098 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.099 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.099 * [taylor]: Taking taylor expansion of 1.0 in x 2.099 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.099 * [taylor]: Taking taylor expansion of 1.0 in x 2.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.109 * [taylor]: Taking taylor expansion of x in x 2.109 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.109 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.109 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.109 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.109 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.109 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.109 * [taylor]: Taking taylor expansion of -1 in x 2.109 * [taylor]: Taking taylor expansion of x in x 2.109 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.109 * [taylor]: Taking taylor expansion of -1 in x 2.109 * [taylor]: Taking taylor expansion of x in x 2.110 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.110 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.110 * [taylor]: Taking taylor expansion of 1.0 in x 2.110 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.110 * [taylor]: Taking taylor expansion of 1.0 in x 2.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.114 * [taylor]: Taking taylor expansion of x in x 2.165 * * * [progress]: simplifying candidates 2.166 * [simplify]: Simplifying using # : (expm1 (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log1p (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (* (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log 1) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3))) (log (+ (* x x) (- (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))) (* x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (- (* x x) (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (- x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (exp (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (* (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (* (* (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (sqrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (sqrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (expm1 (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log1p (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (exp x) (exp (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (exp (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (* (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))) (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3)) (+ (* x x) (- (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))) (* x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (- (* x x) (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0))))) (- x (* (sqrt 1) (hypot x (sqrt 1.0)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (* 1/4 (/ (pow (sqrt 1.0) 2) (pow x 2))) (log 2)) (+ (log (/ 1 x)) (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))))) (- (+ (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))) (+ (log (* 1/2 (pow (sqrt 1.0) 2))) (log (/ -1 x)))) (* 1/4 (/ (pow (sqrt 1.0) 2) (pow x 2)))) (+ x (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 x) (* 1/2 (/ (pow (sqrt 1.0) 2) x))) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (+ (* 1/16 (/ (pow (sqrt 1.0) 6) (pow x 5))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 2.170 * * [simplify]: iteration 0 : 255 enodes (cost 366 ) 2.175 * * [simplify]: iteration 1 : 909 enodes (cost 318 ) 2.191 * * [simplify]: iteration 2 : 3872 enodes (cost 309 ) 2.259 * * [simplify]: iteration 3 : 5001 enodes (cost 304 ) 2.260 * [simplify]: Simplified to: (expm1 (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log1p (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (* 2 (log (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) 0 (log (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) (log (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3))) (log (+ (* x x) (- (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))) (* x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (- (* x x) (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (- x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) (log (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (fma (hypot x (sqrt 1.0)) (sqrt 1) x) (* (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (pow (log (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) 3) (sqrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (sqrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (expm1 (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log1p (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (exp (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) (log (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) (exp (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) (* (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (pow (fma (hypot x (sqrt 1.0)) (sqrt 1) x) 3) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3)) (fma (hypot x (sqrt 1.0)) (- (hypot x (sqrt 1.0)) (* x (sqrt 1))) (pow x 2)) (fma (- (hypot x (sqrt 1.0))) (hypot x (sqrt 1.0)) (pow x 2)) (- x (* (sqrt 1) (hypot x (sqrt 1.0)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (+ (fma (/ 1/4 x) (/ 1.0 x) (log 2)) (- (log x) (/ (* (* 1.0 1.0) 3/32) (pow x 4)))) (+ (fma 3/32 (/ 1.0 (/ (pow x 4) 1.0)) (log (/ -1 x))) (- (log (* 1/2 (pow (sqrt 1.0) 2))) (* (/ 1/4 x) (/ 1.0 x)))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (+ x (sqrt 1.0))) (fma (- 1/8) (/ 1.0 (/ (pow x 3) 1.0)) (fma x 2 (/ 1.0 (/ x 1/2)))) (fma (/ 1/8 (pow x 3)) (* 1.0 1.0) (- (* (- 1/2) (/ 1.0 x)) (/ (pow 1.0 3) (/ (pow x 5) 1/16)))) 2.261 * * * [progress]: adding candidates to table 2.366 * * [progress]: iteration 4 / 4 2.366 * * * [progress]: picking best candidate 2.374 * * * * [pick]: Picked # 2.374 * * * [progress]: localizing error 2.384 * * * [progress]: generating rewritten candidates 2.384 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.386 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.388 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.390 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 2.393 * * * [progress]: generating series expansions 2.393 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.394 * [approximate]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in (x) around 0 2.394 * [taylor]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in x 2.394 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.394 * [taylor]: Taking taylor expansion of x in x 2.394 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.394 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.394 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.394 * [taylor]: Taking taylor expansion of (* x x) in x 2.394 * [taylor]: Taking taylor expansion of x in x 2.394 * [taylor]: Taking taylor expansion of x in x 2.394 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.394 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.394 * [taylor]: Taking taylor expansion of 1.0 in x 2.395 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.395 * [taylor]: Taking taylor expansion of 1.0 in x 2.405 * [taylor]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in x 2.405 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.405 * [taylor]: Taking taylor expansion of x in x 2.405 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.406 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.406 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.406 * [taylor]: Taking taylor expansion of (* x x) in x 2.406 * [taylor]: Taking taylor expansion of x in x 2.406 * [taylor]: Taking taylor expansion of x in x 2.406 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.406 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.406 * [taylor]: Taking taylor expansion of 1.0 in x 2.406 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.406 * [taylor]: Taking taylor expansion of 1.0 in x 2.456 * [approximate]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in (x) around 0 2.456 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.456 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.456 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.456 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.456 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.456 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.456 * [taylor]: Taking taylor expansion of x in x 2.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.456 * [taylor]: Taking taylor expansion of x in x 2.456 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.456 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.456 * [taylor]: Taking taylor expansion of 1.0 in x 2.457 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.457 * [taylor]: Taking taylor expansion of 1.0 in x 2.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.460 * [taylor]: Taking taylor expansion of x in x 2.461 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.461 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.461 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.461 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.461 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.461 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.461 * [taylor]: Taking taylor expansion of x in x 2.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.462 * [taylor]: Taking taylor expansion of x in x 2.462 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.462 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.462 * [taylor]: Taking taylor expansion of 1.0 in x 2.463 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.463 * [taylor]: Taking taylor expansion of 1.0 in x 2.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.466 * [taylor]: Taking taylor expansion of x in x 2.540 * [approximate]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in (x) around 0 2.540 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.540 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.540 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.540 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.540 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.540 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.540 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.540 * [taylor]: Taking taylor expansion of -1 in x 2.540 * [taylor]: Taking taylor expansion of x in x 2.540 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.540 * [taylor]: Taking taylor expansion of -1 in x 2.540 * [taylor]: Taking taylor expansion of x in x 2.541 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.541 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.541 * [taylor]: Taking taylor expansion of 1.0 in x 2.541 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.541 * [taylor]: Taking taylor expansion of 1.0 in x 2.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.544 * [taylor]: Taking taylor expansion of x in x 2.555 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.555 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.555 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.555 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.555 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.555 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.555 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.555 * [taylor]: Taking taylor expansion of -1 in x 2.556 * [taylor]: Taking taylor expansion of x in x 2.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.556 * [taylor]: Taking taylor expansion of -1 in x 2.556 * [taylor]: Taking taylor expansion of x in x 2.556 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.556 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.556 * [taylor]: Taking taylor expansion of 1.0 in x 2.557 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.557 * [taylor]: Taking taylor expansion of 1.0 in x 2.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.567 * [taylor]: Taking taylor expansion of x in x 2.679 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.680 * [approximate]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in (x) around 0 2.680 * [taylor]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in x 2.680 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.680 * [taylor]: Taking taylor expansion of x in x 2.680 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.680 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.680 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.680 * [taylor]: Taking taylor expansion of (* x x) in x 2.680 * [taylor]: Taking taylor expansion of x in x 2.680 * [taylor]: Taking taylor expansion of x in x 2.680 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.680 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.680 * [taylor]: Taking taylor expansion of 1.0 in x 2.681 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.681 * [taylor]: Taking taylor expansion of 1.0 in x 2.687 * [taylor]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in x 2.687 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.687 * [taylor]: Taking taylor expansion of x in x 2.687 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.687 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.687 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.687 * [taylor]: Taking taylor expansion of (* x x) in x 2.687 * [taylor]: Taking taylor expansion of x in x 2.687 * [taylor]: Taking taylor expansion of x in x 2.687 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.687 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.688 * [taylor]: Taking taylor expansion of 1.0 in x 2.688 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.688 * [taylor]: Taking taylor expansion of 1.0 in x 2.745 * [approximate]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in (x) around 0 2.745 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.745 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.745 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.745 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.745 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.745 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.745 * [taylor]: Taking taylor expansion of x in x 2.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.746 * [taylor]: Taking taylor expansion of x in x 2.746 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.746 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.746 * [taylor]: Taking taylor expansion of 1.0 in x 2.746 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.746 * [taylor]: Taking taylor expansion of 1.0 in x 2.750 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.750 * [taylor]: Taking taylor expansion of x in x 2.750 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.750 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.750 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.751 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.751 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.751 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.751 * [taylor]: Taking taylor expansion of x in x 2.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.751 * [taylor]: Taking taylor expansion of x in x 2.751 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.751 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.751 * [taylor]: Taking taylor expansion of 1.0 in x 2.752 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.752 * [taylor]: Taking taylor expansion of 1.0 in x 2.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.755 * [taylor]: Taking taylor expansion of x in x 2.832 * [approximate]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in (x) around 0 2.832 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.832 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.832 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.832 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.833 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.833 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.833 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.833 * [taylor]: Taking taylor expansion of -1 in x 2.833 * [taylor]: Taking taylor expansion of x in x 2.833 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.833 * [taylor]: Taking taylor expansion of -1 in x 2.833 * [taylor]: Taking taylor expansion of x in x 2.833 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.833 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.833 * [taylor]: Taking taylor expansion of 1.0 in x 2.834 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.834 * [taylor]: Taking taylor expansion of 1.0 in x 2.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.837 * [taylor]: Taking taylor expansion of x in x 2.848 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.849 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.849 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.849 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.849 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.849 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.849 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.849 * [taylor]: Taking taylor expansion of -1 in x 2.849 * [taylor]: Taking taylor expansion of x in x 2.849 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.849 * [taylor]: Taking taylor expansion of -1 in x 2.849 * [taylor]: Taking taylor expansion of x in x 2.849 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.849 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.849 * [taylor]: Taking taylor expansion of 1.0 in x 2.850 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.850 * [taylor]: Taking taylor expansion of 1.0 in x 2.853 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.853 * [taylor]: Taking taylor expansion of x in x 2.976 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.977 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 2.977 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.977 * [taylor]: Taking taylor expansion of x in x 2.977 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.977 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.977 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.977 * [taylor]: Taking taylor expansion of (* x x) in x 2.977 * [taylor]: Taking taylor expansion of x in x 2.977 * [taylor]: Taking taylor expansion of x in x 2.977 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.977 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.977 * [taylor]: Taking taylor expansion of 1.0 in x 2.978 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.978 * [taylor]: Taking taylor expansion of 1.0 in x 2.983 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.983 * [taylor]: Taking taylor expansion of x in x 2.983 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.983 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.983 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.984 * [taylor]: Taking taylor expansion of (* x x) in x 2.984 * [taylor]: Taking taylor expansion of x in x 2.984 * [taylor]: Taking taylor expansion of x in x 2.984 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.984 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.984 * [taylor]: Taking taylor expansion of 1.0 in x 2.984 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.984 * [taylor]: Taking taylor expansion of 1.0 in x 2.998 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 2.999 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.999 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.999 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.999 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.999 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.999 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.999 * [taylor]: Taking taylor expansion of x in x 2.999 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.999 * [taylor]: Taking taylor expansion of x in x 2.999 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.999 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.999 * [taylor]: Taking taylor expansion of 1.0 in x 3.000 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.000 * [taylor]: Taking taylor expansion of 1.0 in x 3.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.003 * [taylor]: Taking taylor expansion of x in x 3.003 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 3.004 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 3.004 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.004 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.004 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.004 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.004 * [taylor]: Taking taylor expansion of x in x 3.004 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.004 * [taylor]: Taking taylor expansion of x in x 3.004 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.004 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.004 * [taylor]: Taking taylor expansion of 1.0 in x 3.005 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.005 * [taylor]: Taking taylor expansion of 1.0 in x 3.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.008 * [taylor]: Taking taylor expansion of x in x 3.037 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 3.037 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 3.037 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 3.037 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.037 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.037 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.037 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.037 * [taylor]: Taking taylor expansion of -1 in x 3.037 * [taylor]: Taking taylor expansion of x in x 3.037 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.037 * [taylor]: Taking taylor expansion of -1 in x 3.037 * [taylor]: Taking taylor expansion of x in x 3.037 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.037 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.038 * [taylor]: Taking taylor expansion of 1.0 in x 3.038 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.038 * [taylor]: Taking taylor expansion of 1.0 in x 3.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.041 * [taylor]: Taking taylor expansion of x in x 3.042 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 3.042 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 3.042 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.042 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.042 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.042 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.042 * [taylor]: Taking taylor expansion of -1 in x 3.042 * [taylor]: Taking taylor expansion of x in x 3.042 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.042 * [taylor]: Taking taylor expansion of -1 in x 3.042 * [taylor]: Taking taylor expansion of x in x 3.043 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.043 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.043 * [taylor]: Taking taylor expansion of 1.0 in x 3.043 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.043 * [taylor]: Taking taylor expansion of 1.0 in x 3.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.046 * [taylor]: Taking taylor expansion of x in x 3.106 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 3.106 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 3.106 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 3.106 * [taylor]: Taking taylor expansion of x in x 3.106 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 3.106 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 3.106 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 3.106 * [taylor]: Taking taylor expansion of (* x x) in x 3.106 * [taylor]: Taking taylor expansion of x in x 3.106 * [taylor]: Taking taylor expansion of x in x 3.106 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.106 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.106 * [taylor]: Taking taylor expansion of 1.0 in x 3.107 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.107 * [taylor]: Taking taylor expansion of 1.0 in x 3.112 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 3.112 * [taylor]: Taking taylor expansion of x in x 3.112 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 3.112 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 3.112 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 3.112 * [taylor]: Taking taylor expansion of (* x x) in x 3.112 * [taylor]: Taking taylor expansion of x in x 3.112 * [taylor]: Taking taylor expansion of x in x 3.112 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.112 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.112 * [taylor]: Taking taylor expansion of 1.0 in x 3.113 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.113 * [taylor]: Taking taylor expansion of 1.0 in x 3.127 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 3.127 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 3.127 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 3.127 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.127 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.127 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.127 * [taylor]: Taking taylor expansion of x in x 3.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.127 * [taylor]: Taking taylor expansion of x in x 3.128 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.128 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.128 * [taylor]: Taking taylor expansion of 1.0 in x 3.128 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.128 * [taylor]: Taking taylor expansion of 1.0 in x 3.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.131 * [taylor]: Taking taylor expansion of x in x 3.132 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 3.132 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 3.132 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.132 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.132 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.132 * [taylor]: Taking taylor expansion of x in x 3.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.132 * [taylor]: Taking taylor expansion of x in x 3.132 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.132 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.132 * [taylor]: Taking taylor expansion of 1.0 in x 3.133 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.133 * [taylor]: Taking taylor expansion of 1.0 in x 3.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.143 * [taylor]: Taking taylor expansion of x in x 3.171 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 3.171 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 3.171 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 3.171 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.171 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.171 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.171 * [taylor]: Taking taylor expansion of -1 in x 3.171 * [taylor]: Taking taylor expansion of x in x 3.172 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.172 * [taylor]: Taking taylor expansion of -1 in x 3.172 * [taylor]: Taking taylor expansion of x in x 3.172 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.172 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.172 * [taylor]: Taking taylor expansion of 1.0 in x 3.173 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.173 * [taylor]: Taking taylor expansion of 1.0 in x 3.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.176 * [taylor]: Taking taylor expansion of x in x 3.176 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 3.176 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 3.176 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.176 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.176 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.176 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.176 * [taylor]: Taking taylor expansion of -1 in x 3.176 * [taylor]: Taking taylor expansion of x in x 3.177 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.177 * [taylor]: Taking taylor expansion of -1 in x 3.177 * [taylor]: Taking taylor expansion of x in x 3.177 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.177 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.177 * [taylor]: Taking taylor expansion of 1.0 in x 3.178 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.178 * [taylor]: Taking taylor expansion of 1.0 in x 3.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.183 * [taylor]: Taking taylor expansion of x in x 3.241 * * * [progress]: simplifying candidates 3.242 * [simplify]: Simplifying using # : (expm1 (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log1p (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (* (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log 1) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3))) (log (+ (* x x) (- (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))) (* x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (- (* x x) (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (- x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (exp (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (* (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (* (* (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (sqrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (sqrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (expm1 (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log1p (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (* (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log 1) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3))) (log (+ (* x x) (- (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))) (* x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (- (* x x) (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (- x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (exp (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (* (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (* (* (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (sqrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (sqrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (expm1 (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log1p (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (exp x) (exp (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (exp (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (* (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))) (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3)) (+ (* x x) (- (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))) (* x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (- (* x x) (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0))))) (- x (* (sqrt 1) (hypot x (sqrt 1.0)))) (expm1 (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log1p (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (exp x) (exp (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (exp (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (* (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))) (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3)) (+ (* x x) (- (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))) (* x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (- (* x x) (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0))))) (- x (* (sqrt 1) (hypot x (sqrt 1.0)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (* 1/4 (/ (pow (sqrt 1.0) 2) (pow x 2))) (log 2)) (+ (log (/ 1 x)) (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))))) (- (+ (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))) (+ (log (* 1/2 (pow (sqrt 1.0) 2))) (log (/ -1 x)))) (* 1/4 (/ (pow (sqrt 1.0) 2) (pow x 2)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (* 1/4 (/ (pow (sqrt 1.0) 2) (pow x 2))) (log 2)) (+ (log (/ 1 x)) (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))))) (- (+ (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))) (+ (log (* 1/2 (pow (sqrt 1.0) 2))) (log (/ -1 x)))) (* 1/4 (/ (pow (sqrt 1.0) 2) (pow x 2)))) (+ x (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 x) (* 1/2 (/ (pow (sqrt 1.0) 2) x))) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (+ (* 1/16 (/ (pow (sqrt 1.0) 6) (pow x 5))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (+ x (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 x) (* 1/2 (/ (pow (sqrt 1.0) 2) x))) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (+ (* 1/16 (/ (pow (sqrt 1.0) 6) (pow x 5))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 3.247 * * [simplify]: iteration 0 : 255 enodes (cost 732 ) 3.252 * * [simplify]: iteration 1 : 909 enodes (cost 636 ) 3.269 * * [simplify]: iteration 2 : 3872 enodes (cost 618 ) 3.336 * * [simplify]: iteration 3 : 5001 enodes (cost 608 ) 3.339 * [simplify]: Simplified to: (expm1 (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log1p (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (* 2 (log (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) 0 (log (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) (log (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3))) (log (+ (* x x) (- (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))) (* x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (- (* x x) (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (- x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) (log (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (fma (hypot x (sqrt 1.0)) (sqrt 1) x) (* (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (pow (log (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) 3) (sqrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (sqrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (expm1 (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log1p (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (* 2 (log (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) 0 (log (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) (log (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3))) (log (+ (* x x) (- (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))) (* x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (- (* x x) (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (- x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) (log (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (fma (hypot x (sqrt 1.0)) (sqrt 1) x) (* (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (pow (log (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) 3) (sqrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (sqrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (expm1 (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log1p (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (exp (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) (log (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) (exp (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) (* (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (pow (fma (hypot x (sqrt 1.0)) (sqrt 1) x) 3) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3)) (fma (hypot x (sqrt 1.0)) (- (hypot x (sqrt 1.0)) (* x (sqrt 1))) (pow x 2)) (fma (- (hypot x (sqrt 1.0))) (hypot x (sqrt 1.0)) (pow x 2)) (- x (* (sqrt 1) (hypot x (sqrt 1.0)))) (expm1 (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log1p (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (exp (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) (log (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) (exp (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) (* (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (pow (fma (hypot x (sqrt 1.0)) (sqrt 1) x) 3) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3)) (fma (hypot x (sqrt 1.0)) (- (hypot x (sqrt 1.0)) (* x (sqrt 1))) (pow x 2)) (fma (- (hypot x (sqrt 1.0))) (hypot x (sqrt 1.0)) (pow x 2)) (- x (* (sqrt 1) (hypot x (sqrt 1.0)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (+ (fma (/ 1/4 x) (/ 1.0 x) (log 2)) (- (log x) (/ (* (* 1.0 1.0) 3/32) (pow x 4)))) (+ (fma 3/32 (/ 1.0 (/ (pow x 4) 1.0)) (log (/ -1 x))) (- (log (* 1/2 (pow (sqrt 1.0) 2))) (* (/ 1/4 x) (/ 1.0 x)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (+ (fma (/ 1/4 x) (/ 1.0 x) (log 2)) (- (log x) (/ (* (* 1.0 1.0) 3/32) (pow x 4)))) (+ (fma 3/32 (/ 1.0 (/ (pow x 4) 1.0)) (log (/ -1 x))) (- (log (* 1/2 (pow (sqrt 1.0) 2))) (* (/ 1/4 x) (/ 1.0 x)))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (+ x (sqrt 1.0))) (fma (- 1/8) (/ 1.0 (/ (pow x 3) 1.0)) (fma x 2 (/ 1.0 (/ x 1/2)))) (fma (/ 1/8 (pow x 3)) (* 1.0 1.0) (- (* (- 1/2) (/ 1.0 x)) (/ (pow 1.0 3) (/ (pow x 5) 1/16)))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (+ x (sqrt 1.0))) (fma (- 1/8) (/ 1.0 (/ (pow x 3) 1.0)) (fma x 2 (/ 1.0 (/ x 1/2)))) (fma (/ 1/8 (pow x 3)) (* 1.0 1.0) (- (* (- 1/2) (/ 1.0 x)) (/ (pow 1.0 3) (/ (pow x 5) 1/16)))) 3.340 * * * [progress]: adding candidates to table 3.625 * [progress]: [Phase 3 of 3] Extracting. 3.625 * * [regime]: Finding splitpoints for: (# # # # #) 3.626 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.626 * * * * [regimes]: Trying to branch on x from (# # # # #) 3.659 * * * [regime]: Found split indices: #